Practice Time Complexity Overview - 5.5.1 | 5. Kruskal's Algorithm | Design & Analysis of Algorithms - Vol 2
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Time Complexity Overview

5.5.1 - Time Complexity Overview

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Kruskal's Algorithm used for?

💡 Hint: Think about what you need to connect all nodes in a graph.

Question 2 Easy

Why do we sort edges in Kruskal's Algorithm?

💡 Hint: Consider the cost of connections.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary purpose of Kruskal's Algorithm?

To find all paths in a graph
To find the minimum spanning tree
To sort a graph

💡 Hint: Think about what you need to do to connect all points with the least cost.

Question 2

True or False: Cycle detection is optional in Kruskal's Algorithm.

True
False

💡 Hint: Consider what happens if cycles occur.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Implement Kruskal's algorithm on a graph with 5 vertices (1 to 5) and the following edges and weights: (1,2,1), (1,3,3), (2,3,2), (2,4,4), (3,5,6). What is the minimum spanning tree?

💡 Hint: Follow the steps of edge selection carefully.

Challenge 2 Hard

Analyze the impact of using an efficient union-find structure versus a basic merging approach in terms of Kruskal’s algorithm performance on a densely connected graph.

💡 Hint: Consider how often you need to check for cycles.

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